L'Hopital's Rule

Сентябрь 14, 2022

Содержание

2. Quiz Review Retakes?
3. Indeterminate forms An indeterminate form is a value that we are unable to evaluate. Each indeterminate
4. L’Hopital’s Rule We can use L’Hopital’s Rule to solve difficult limits that are indeterminate forms Thm-
5. Ex 1.5 Evaluate
6. Ex 1.6 Evaluate
7. Ex 1.7 You can only use L’Hopital’s Rule if the limit has an indeterminate form!
8. Some proofs F(x) = e^x grows faster than any polynomial
9. You try Evaluate the limits using L’Hopital’s Rule 1) 2) 3)
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Quiz Review
Retakes?

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Indeterminate forms
An indeterminate form is a value that we are unable

to evaluate. Each indeterminate form type is defined by the expression that can’t be evaluated
Examples of indeterminate forms:

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L’Hopital’s Rule
We can use L’Hopital’s Rule to solve difficult limits that

are indeterminate forms
Thm-
We can take the derivative of the numerator and denominator separately, and it will not affect the limit.

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Ex 1.5
Evaluate

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Ex 1.6
Evaluate

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Ex 1.7
You can only use L’Hopital’s Rule if the limit has

an indeterminate form!

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Some proofs
F(x) = e^x grows faster than any polynomial

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You try
Evaluate the limits using L’Hopital’s Rule
1)
2)
3)